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2292220 = 225722339
BaseRepresentation
bin1000101111100111111100
311022110100001
420233213330
51041322340
6121044044
725324600
oct10574774
94273301
102292220
1113261a7
12926624
13623458
14439500
1530429a
hex22f9fc

2292220 has 36 divisors (see below), whose sum is σ = 5601960. Its totient is φ = 785568.

The previous prime is 2292193. The next prime is 2292221. The reversal of 2292220 is 222922.

2292220 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2292221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190 + ... + 2149.

It is an arithmetic number, because the mean of its divisors is an integer number (155610).

22292220 is an apocalyptic number.

2292220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2292220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800980).

2292220 is an abundant number, since it is smaller than the sum of its proper divisors (3309740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2292220 is a wasteful number, since it uses less digits than its factorization.

2292220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2292220 is about 1514.0079260030. The cubic root of 2292220 is about 131.8516085733.

The spelling of 2292220 in words is "two million, two hundred ninety-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 2339 4678 9356 11695 16373 23390 32746 46780 65492 81865 114611 163730 229222 327460 458444 573055 1146110 2292220